Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938g |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-82785636494404624 = -1 · 24 · 118 · 176 |
Discriminant |
Eigenvalues |
2+ 2 3 -2 11- 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,104179,-4868563] |
[a1,a2,a3,a4,a6] |
j |
24167/16 |
j-invariant |
L |
3.5033610441678 |
L(r)(E,1)/r! |
Ω |
0.19463117026214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69938q1 242b1 |
Quadratic twists by: -11 17 |